A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. The graph below shows how the volume of the box in cubic inches, V, is related to the length of the side of the square cutout in inches, x V (1.3, 36.61) cubic inches when the cutout length is a. The point (1, 35) is on the graph. This means that when the volume of the box is 35 inches. 1 is on the graph b. When the cutout length is 2 inches, the volume of the box is 30 cubic inches. This means that the point (2,30) above c. Suppose the largest possible cutout length is 3.5 inches. Over what interval of x does the volume of the box decrease as the cutout length gets larger? (Enter your answer as an interval.) Preview no answer given

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.4: Solving Quadratic Equations By Factoring
Problem 49PPS
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Please respond to box c. 

A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. The graph below shows how the volume of
the box in cubic inches, V, is related to the length of the side of the square cutout in inches, x
V
(1.3, 36.61)
cubic inches when the cutout length is
a. The point (1, 35) is on the graph. This means that when the volume of the box is 35
inches.
1
is on the graph
b. When the cutout length is 2 inches, the volume of the box is 30 cubic inches. This means that the point (2,30)
above
c. Suppose the largest possible cutout length is 3.5 inches. Over what interval of x does the volume of the box decrease as the cutout length
gets larger? (Enter your answer as an interval.)
Preview
no answer given
Transcribed Image Text:A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. The graph below shows how the volume of the box in cubic inches, V, is related to the length of the side of the square cutout in inches, x V (1.3, 36.61) cubic inches when the cutout length is a. The point (1, 35) is on the graph. This means that when the volume of the box is 35 inches. 1 is on the graph b. When the cutout length is 2 inches, the volume of the box is 30 cubic inches. This means that the point (2,30) above c. Suppose the largest possible cutout length is 3.5 inches. Over what interval of x does the volume of the box decrease as the cutout length gets larger? (Enter your answer as an interval.) Preview no answer given
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